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214001020 = 22510700051
BaseRepresentation
bin11001100000101…
…10010101111100
3112220200101012201
430300112111330
5414241013040
633122441244
75205656452
oct1460262574
9486611181
10214001020
11aa886152
125b803224
133544a02c
14205c89d2
1513bc2a9a
hexcc1657c

214001020 has 12 divisors (see below), whose sum is σ = 449402184. Its totient is φ = 85600400.

The previous prime is 214000973. The next prime is 214001023. The reversal of 214001020 is 20100412.

214001020 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2140010202 = 91592873122080800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 214000988 and 214001006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214001023) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5350006 + ... + 5350045.

It is an arithmetic number, because the mean of its divisors is an integer number (37450182).

Almost surely, 2214001020 is an apocalyptic number.

214001020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214001020 is an abundant number, since it is smaller than the sum of its proper divisors (235401164).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

214001020 is a wasteful number, since it uses less digits than its factorization.

214001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10700060 (or 10700058 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 214001020 is about 14628.7737011685. The cubic root of 214001020 is about 598.1433532903.

Adding to 214001020 its reverse (20100412), we get a palindrome (234101432).

The spelling of 214001020 in words is "two hundred fourteen million, one thousand, twenty".

Divisors: 1 2 4 5 10 20 10700051 21400102 42800204 53500255 107000510 214001020